A draws a card from a pack of n cards marked 1,2,3,...,n. The card is replaced in the pack and B draws a card. Find the probability that A draws

I)the same card as B.
Ii)higher card than B.

Sir could you please explain?

To find the probability that A draws the same card as B, we need to consider that each draw is independent and the probability of A and B both drawing the same card is the same for each card. Since there are n cards and each draw has a 1/n chance of selecting a specific card, the probability of A drawing the same card as B is 1/n.

To find the probability that A draws a higher card than B, we need to consider that there are (n-1) cards that are higher than the card B draws. Therefore, the probability of A drawing a higher card than B is (n-1)/n.

I) Probability that A draws the same card as B: 1/n
II) Probability that A draws a higher card than B: (n-1)/n

Pr(A=B)=1/n

Pr(A>B)=1/2-Pr(A-B)=1/2 -1/n